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Finding the Third Proportional to 206,456 and 421,664

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Solution

The third proportional to 206,456 and 421,664 is: 861,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456 : 421,664 = 421,664 : x
  2. Step 2: Convert to fraction form
    206,456/421,664 = 421,664/x
  3. Step 3: Cross multiply
    206,456x = 421,664 × 421,664
  4. Step 4: Simplify right side
    206,456x = 177,800,528,896
  5. Step 5: Solve for x
    x = 177,800,528,896/206,456
  6. Step 6: Final answer
    x = 861,203.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.